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Finding the Fourth Proportional to 871.36, 1,202.57 and 498.39

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Solution

The fourth proportional to 871.36, 1,202.57 and 498.39 is: 687.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    871.36 : 1,202.57 = 498.39 : x
  2. Step 2: Convert to fraction form
    871.36/1,202.57 = 498.39/x
  3. Step 3: Cross multiply
    871.36x = 1,202.57 × 498.39
  4. Step 4: Simplify right side
    871.36x = 599,350.11
  5. Step 5: Solve for x
    x = 599,350.11/871.36
  6. Step 6: Final answer
    x = 687.83

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.